3331120128 has 352 divisors, whose sum is σ = 11067555840. Its totient is φ = 869253120.

The previous prime is 3331120081. The next prime is 3331120129. The reversal of 3331120128 is 8210211333.

It is a super-2 number, since 2×3331120128² = 22192722614333472768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 3331120098 and 3331120107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3331120129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12665725 + ... + 12665987.

It is an arithmetic number, because the mean of its divisors is an integer number (31441920).

Almost surely, 2^3331120128 is an apocalyptic number.

3331120128 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3331120128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5533777920).

3331120128 is an abundant number, since it is smaller than the sum of its proper divisors (7736435712).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3331120128 is a wasteful number, since it uses less digits than its factorization.

3331120128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 3331120128 is about 57715.8568159566. The cubic root of 3331120128 is about 1493.4709000253.

The spelling of 3331120128 in words is "three billion, three hundred thirty-one million, one hundred twenty thousand, one hundred twenty-eight".